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Finding the Fourth Proportional to 29,124.75, 40,192.17 and 16,549.50

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Solution

The fourth proportional to 29,124.75, 40,192.17 and 16,549.50 is: 22,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124.75 : 40,192.17 = 16,549.50 : x
  2. Step 2: Convert to fraction form
    29,124.75/40,192.17 = 16,549.50/x
  3. Step 3: Cross multiply
    29,124.75x = 40,192.17 × 16,549.50
  4. Step 4: Simplify right side
    29,124.75x = 665,160,317.42
  5. Step 5: Solve for x
    x = 665,160,317.42/29,124.75
  6. Step 6: Final answer
    x = 22,838.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.